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Popular Calculus >

integral from-9 to 6 of (1-x)

Solution

\int_{- 9}^{6} (1 - x) d x

Solution

\frac{75}{2}

+1

Decimal

37.5

Solution steps

\int_{- 9}^{6} 1 - x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 9}^{6} 1 d x - \int_{- 9}^{6} x d x

\int_{- 9}^{6} 1 d x = 15

\int_{- 9}^{6} x d x = - \frac{45}{2}

= 15 - (- \frac{45}{2})

Simplify

15 - (- \frac{45}{2}) : \frac{75}{2}

= \frac{75}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-9 to 6 of (1-x) ?
The integral from-9 to 6 of (1-x) is 75/2